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Finding the Fourth Proportional to 78,422.78, 117,634.56 and 19,258.46

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Solution

The fourth proportional to 78,422.78, 117,634.56 and 19,258.46 is: 28,887.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,422.78 : 117,634.56 = 19,258.46 : x
  2. Step 2: Convert to fraction form
    78,422.78/117,634.56 = 19,258.46/x
  3. Step 3: Cross multiply
    78,422.78x = 117,634.56 × 19,258.46
  4. Step 4: Simplify right side
    78,422.78x = 2,265,460,468.38
  5. Step 5: Solve for x
    x = 2,265,460,468.38/78,422.78
  6. Step 6: Final answer
    x = 28,887.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.